The cluster state that the hardware generates will be populated by two kinds of states as mentioned in the main text: the \(\mathinner {|{+}\rangle }_{\rm gkp}\)  state and the momentum-squeezed state. Since the computer is operating in memory mode, we do not need to consider magic states as one of the possible states prepared. The position wavefunction of the ideal GKP state is  [1]}
\(\mathinner {|{+}\rangle }_{\rm gkp} = \sum _{n=-\infty }^{\infty } |n \sqrt{\pi }\rangle _q,\) 
